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Finding the Fourth Proportional to 39.66, 59.15 and 36.83

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Solution

The fourth proportional to 39.66, 59.15 and 36.83 is: 54.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.66 : 59.15 = 36.83 : x
  2. Step 2: Convert to fraction form
    39.66/59.15 = 36.83/x
  3. Step 3: Cross multiply
    39.66x = 59.15 × 36.83
  4. Step 4: Simplify right side
    39.66x = 2,178.01
  5. Step 5: Solve for x
    x = 2,178.01/39.66
  6. Step 6: Final answer
    x = 54.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.